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Finding the Fourth Proportional to 2,805.48, 4,205.52 and 2,014.20

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Solution

The fourth proportional to 2,805.48, 4,205.52 and 2,014.20 is: 3,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.48 : 4,205.52 = 2,014.20 : x
  2. Step 2: Convert to fraction form
    2,805.48/4,205.52 = 2,014.20/x
  3. Step 3: Cross multiply
    2,805.48x = 4,205.52 × 2,014.20
  4. Step 4: Simplify right side
    2,805.48x = 8,470,758.38
  5. Step 5: Solve for x
    x = 8,470,758.38/2,805.48
  6. Step 6: Final answer
    x = 3,019.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.